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Finding the Fourth Proportional to 519,094.74, 778,780.62 and 164,115.48

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Solution

The fourth proportional to 519,094.74, 778,780.62 and 164,115.48 is: 246,217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,094.74 : 778,780.62 = 164,115.48 : x
  2. Step 2: Convert to fraction form
    519,094.74/778,780.62 = 164,115.48/x
  3. Step 3: Cross multiply
    519,094.74x = 778,780.62 × 164,115.48
  4. Step 4: Simplify right side
    519,094.74x = 127,809,955,266.00
  5. Step 5: Solve for x
    x = 127,809,955,266.00/519,094.74
  6. Step 6: Final answer
    x = 246,217.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.